Question

For Exercises $49-56,$ convert each expression to radical notation. $$q^{2 / 3}$$

Name: Problem 49, Chapter 6: Intermediate Algebra
Uploaded: 2020-06-21T06:17:14-08:00
Duration: 22 s
Channel: Ankit Gupta
Description: For Exercises 49-56, convert each expression to radical notation. q^2 / 3

   For Exercises $49-56,$ convert each expression to radical notation.
$$q^{2 / 3}$$

Intermediate Algebra

Julie Miller, Molly… 5th Edition

Chapter 6, Problem 49

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Solved by Expert Ankit Gupta

06/21/2020

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Here, the numerator of the fraction in the exponent represents the power and the denominator represents the root. Show more…

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For Exercises $49-56,$ convert each expression to radical notation. $$q^{2 / 3}$$

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Key Concepts

Rational Exponents

Rational exponents express powers in the form a^(m/n) where m represents the power and n denotes the root. This concept shows the equivalence between exponentiation and radical notation, emphasizing that taking an nth root of a number raised to the mth power is the same as raising the number to the m/n power.

Radical Notation

Radical notation uses the radical symbol to represent roots, such as square roots, cube roots, etc. This form converts expressions with fractional exponents into those using radical expressions, aiding in simplifying and understanding algebraic manipulations involving roots.

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